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Almost everywhere convergence of entangled ergodic averages [PDF]
Integral Equations and Operator Theory, 2016 We study pointwise convergence of entangled averages of the form \[ \frac{1}{N^k}\sum_{1\leq n_1,\ldots, n_k\leq N} T_m^{n_{\alpha(m)}}A_{m-1}T^{n_{\alpha(m-1)}}_{m-1}\ldots A_2T_2^{n_{\alpha(2)}}A_1T_1^{n_{\alpha(1)}} f, \] where $f\in L^2(X,\mu ...
Kunszenti-Kovács, Dávid
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Wavelets: convergence almost everywhere [PDF]
Mathematical communications, 1996 It has been proved in [7], using the Carleson-Hunt theorem on the pointwise convergence of Fourier series, that the wavelet inversion formula is valid pointwise for all L^p -functions, and also without restrictions on ...
H. Šikić
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Order convergence and convergence almost everywhere revisited [PDF]
, 2010 In Analysis two modes of non-topological convergence are interesting: order convergence and convergence almost everywhere. It is proved here that oder convergence of sequences can be induced by a limit structure, even a finest one, whenever it is ...
Preuß, Gerhard
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Matrix transformations of sequences and applications in Fourier analysis [PDF]
HeliyonIn the presented paper we consider a sequence and its Nörlud and a generalized mean derived from a matrix transformation. Furthermore, sufficient conditions for the matrix are found which implies the converges of the generalized matrix means from the ...
Ushangi Goginava +3 more
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On Another Type of Convergence for Intuitionistic Fuzzy Observables
Mathematics, 2023 The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
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Almost everywhere convergence of spline sequences [PDF]
Israel Journal of Mathematics, 2020 We prove the analogue of the Martingale Convergence Theorem for polynomial spline sequences. Given a natural number $k $ and a sequence $(t_i)$ of knots in $[0,1]$ with multiplicity $\le k-1$, we let $P_n $ be the orthogonal projection onto the space of spline polynomials in $[0,1] $ of degree $k-1$ corresponding to the grid $(t_i)_{i=1}^n$. Let $X$ be
Müller, Paul F. X. +1 more
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Generalized Localization and Summability Almost Everywhere of Multiple Fourier Series and Integrals
Современная математика: Фундаментальные направления, 2021 It is well known that Luzin’s conjecture has a positive solution for one-dimensional trigonometric Fourier series, but in the multidimensional case it has not yet found its confirmation for spherical partial sums of multiple Fourier series. Historically,
R. R. Ashurov
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Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means
Journal of Inequalities and Applications, 2023 We prove and discuss some new weak type ( 1 , 1 ) $(1,1 ) $ inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlund means.
Davit Baramidze +3 more
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Some applications of the Menshov–Rademacher theorem
Comptes Rendus. Mathématique, 2021 Given a sequence $(X_n)$ of real or complex random variables and a sequence of numbers $(a_n)$, an interesting problem is to determine the conditions under which the series $\sum _{n=1}^\infty a_n X_n$ is almost surely convergent.
Mukeru, Safari
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Almost everywhere convergence of prolate spheroidal series [PDF]
Illinois Journal of Mathematics, 2020 In this paper, we show that the expansions of functions from $L^p$-Paley-Wiener type spaces in terms of the prolate spheroidal wave functions converge almost everywhere for ...
Jaming, Philippe, Speckbacher, Michael
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